Thomson $N=7$: certificate data for slab 4 ($-\tfrac{47}{50}\le t_{01}\le-\tfrac{93}{100}$), part 2 of 2

import Definitions.Def_ThomsonN7_slab_s94_93_data_1

/-!
# Thomson problem for N = 7 (and the D3h stretch target for N = 9)

Minimise the Coulomb energy `E(x) = ∑_{i<j} 1 / ‖x i - x j‖` over configurations of `N` pairwise
distinct points on the unit sphere `S² ⊂ ℝ³`.

* `N = 7`: the unique minimiser (up to `O(3)` and relabelling) is the regular pentagonal bipyramid,
  with `E = 1/2 + 5√2 + 5/(2 sin(π/5)) + 5/(2 sin(2π/5)) = 14.452977414…`.
* `N = 9`: the (numerically known) minimiser is the D3h tricapped trigonal prism, which has one free
  parameter `z` (the height of the two triangular faces); numerically `z ≈ 0.70365`,
  `E ≈ 25.759986531`.
-/

open Real

namespace ThomsonN7

/-! ## Auxiliary facts (already proved; they show the definitions are well-posed) -/

/- BEGIN M0 -/
namespace Base

open Finset

/-! ### Invariance -/

/-! ### Gram values of the pentagonal bipyramid -/

end Base
/- END M0 -/

/- BEGIN M1 -/
namespace ThreePoint

open Finset Matrix
open scoped RealInnerProductSpace

/-! # Bachoc–Vallentin three-point positivity on `S²` (any block size, any `k`)

`Q3 k u v t = ((1-u²)(1-v²))^{k/2} T_k((t-uv)/√((1-u²)(1-v²)))` via the Chebyshev recursion.
-/

/-! ### Addition theorem (de Moivre) -/

/-! ### Combinatorics of ordered triple sums -/

section Comb

variable {n : ℕ}

end Comb

section Comb2

variable {n : ℕ}

end Comb2

section Comb3

variable {n : ℕ}

end Comb3

section Comb4

variable {n : ℕ}

end Comb4

section Final

variable {n : ℕ}

end Final

/-! ### The kernels at the diagonal `(1,1,1)` -/

section FinalZ

variable {n : ℕ}

end FinalZ

/- BEGIN M5 -/
section Critical

end Critical

section Critical

end Critical

section Critical

end Critical

section CriticalZ

variable {n : ℕ}

end CriticalZ

section CriticalZsym

variable {n : ℕ}

section Perm

variable (τ : Fin n → Fin n → ℝ) (hτ : ∀ i j, τ j i = τ i j) (f : ℝ → ℝ → ℝ → ℝ)

include hτ

end Perm

end CriticalZsym

section CriticalFinal

variable {n : ℕ}

end CriticalFinal

/- END M5 -/

end ThreePoint

/- BEGIN CERT3 -/

/-!
# Kronecker-substitution checking of polynomial identities

A polynomial `e : Ex` in three variables `u, v, t` with integer coefficients is given as an
expression tree.  To prove `∀ u v t : ℝ, e(u,v,t) = 0` it suffices to check, with kernel
(GMP) integer arithmetic, that
* every exponent of every variable is `< D`,
* the `ℓ¹`-norm of the (uncollected) coefficients is `< 2^w`,
* the value of `e` at the integers `u = 2^w`, `v = 2^(w D)`, `t = 2^(w D²)` is `0`.
-/

namespace Kron

namespace Ex

end Ex

namespace Ex

end Ex

open Ex

end Kron

/-! ## Builders for `Ex` with evaluation lemmas -/

namespace Kron
namespace Ex

variable (u v t : ℝ)

/-! ### Substitution of variables by variables or `1` -/

end Ex
end Kron

/- BEGIN CERT1 -/
section Cert1Block

open Kron Kron.Ex

namespace Cert

open ThreePoint

/-! ## `Q_k` as a polynomial expression -/

/-! ## Quadratic forms: `L D Lᵀ` plus a diagonally dominant remainder -/

/-! ## Integer data of a positive semidefinite block -/

namespace Blk

end Blk

end Cert

end Cert1Block

/- BEGIN CERT3FILE -/
section Cert3Block

open Kron Kron.Ex

namespace Cert

open ThreePoint

/-! ## Helpers: zero-skipping scaling, monomial-preserving substitution -/

/-! ## The `F`-blocks: `Λ · Fp(u,v)` -/

/-! ## Block matrices and their quadratic forms -/

/-! ## Symmetrisation and the `F`-part of the identity -/

/-! ## SOS blocks with multipliers -/

/-! ## The certificate and its soundness -/

open scoped RealInnerProductSpace

namespace Cert3

end Cert3

namespace Cert3

end Cert3

namespace Cert3

end Cert3

end Cert

end Cert3Block

/- END CERT3 -/

/- BEGIN M2 -/
namespace M2

/-! ## The number field `ℚ(√2, 2 sin (π/5))` -/

namespace K8

/-! ### Rational enclosures and positivity of elements of `K8` -/

end K8

namespace K8

end K8

/-! ### Polynomials with `K8` coefficients: dense lists, lowest degree first -/

namespace Pl

end Pl

open Pl

end M2
/- END M2 -/

/- BEGIN M3 -/
namespace M3

open scoped InnerProductSpace

end M3

/- BEGIN P3ext -/

/-! ## P3: Bregman (Taylor) lower bounds for the Coulomb pair potential (agent7) -/

namespace Base

end Base

/- END P3ext -/

/- BEGIN P1 -/

/-! ## P1: the bipyramid is a critical point of the Coulomb energy on the constraint set (agent7) -/

namespace Reg

open Base

end Reg

/- END P1 -/

/- BEGIN GAUGE -/

/-! ## G: gauge (Procrustes) lemma `exists_gauge` (agent7) -/

namespace Reg

open scoped RealInnerProductSpace

end Reg

/- END GAUGE -/

/- BEGIN P2 -/

/- BEGIN RegB (P2: exact energy identity; needs M0 = namespace Base and the Challenge preamble) -/
namespace RegB

open Base Finset

section vectors

variable (y : Fin 7 → R3)

end vectors

end RegB
/- END RegB -/

/- END P2 -/

/- BEGIN GV -/

namespace GV

open Base

open scoped InnerProductSpace

end GV

/- END GV -/

/- BEGIN TWOREGIME -/

namespace TwoRegime

open scoped InnerProductSpace

end TwoRegime

namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

/- END TWOREGIME -/

/- BEGIN TR_D -/
namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

/- END TR_D -/

/- BEGIN TR_E -/
namespace ThreePoint

open Finset Matrix
open scoped RealInnerProductSpace

section FinalCut

variable {n : ℕ}

end FinalCut

end ThreePoint

namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

/- END TR_E -/

/- BEGIN TR_G -/
namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

/- BEGIN TR_G3 -/
namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime
/- END TR_G3 -/
/- BEGIN TR_G4 -/
namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime
/- END TR_G4 -/
/- END TR_G -/

/- BEGIN INTERFACES -/
namespace Interfaces

open Finset Base

end Interfaces
/- END INTERFACES -/

/- BEGIN GLUE -/
namespace Glue

open Finset Base Interfaces

end Glue
/- END GLUE -/

/- BEGIN TR_F -/
namespace EPBounds

open Real

end EPBounds
/- END TR_F -/
end ThomsonN7

section RegLocalSection
/- BEGIN REGLOCAL (agent7): perturbative strict local minimality of the pentagonal bipyramid.
   Splice AFTER Level1d (needs GAUGE = exists_gauge, P1/P3ext, Base, TwoRegime.LocalMinAt).
   Pieces in order: Loc1 (H, B3) | QCore1 (certificate defs/lemmas) | Q2 (expansion) | QCore2 (core) | Loc2 (glue). -/
open Real
open scoped RealInnerProductSpace
namespace ThomsonN7
/- BEGIN LOC1 (agent7): exact chart identity (H) and cubic Bregman lower bound (B3) in h = y - P.
   Splice AFTER the GAUGE block (needs P1, P3ext); compiles against Level1b.lean lines 1-3641. -/
namespace Reg
open Base

end Reg

/- END LOC1 -/

end ThomsonN7

/- BEGIN QCORE1 -/
namespace ThomsonN7
namespace Reg

end Reg
end ThomsonN7
/- END QCORE1 -/

/- BEGIN Q2 -/
open Real
open scoped RealInnerProductSpace
namespace ThomsonN7
namespace Reg
open Base

end Reg
end ThomsonN7

/- END Q2 -/

/- BEGIN QCORE2 -/
namespace ThomsonN7
namespace Reg

end Reg
end ThomsonN7
/- END QCORE2 -/

/- BEGIN LOC2 -/
open Real
open scoped RealInnerProductSpace
namespace ThomsonN7
namespace Reg
open Base

/-! ### The atom box for the penalised Hessian certificate -/

end Reg
end ThomsonN7

/- END LOC2 -/

namespace ThomsonN7
namespace Reg

end Reg

end ThomsonN7

/- END REGLOCAL -/
end RegLocalSection

/- BEGIN CASE1 -/
namespace ThomsonN7
namespace CutOneD

end CutOneD
end ThomsonN7

namespace ThomsonN7

namespace Case1Data
open ThomsonN7 ThomsonN7.Cert

end Case1Data

end ThomsonN7

namespace ThomsonN7
namespace Case1

open scoped InnerProductSpace
open ThomsonN7.Cert ThomsonN7.Cert.Cert3

/-! ### Chunked evaluation of the Kronecker check for `Case1Data.cf`

The identity expression `Case1Data.cf.idE` has about 147 000 nodes.  Evaluating `chk` on it in one
kernel call is correct but keeps every intermediate kernel term alive until the end of the
declaration.  Here the same check is split into separate declarations, one per piece of the
expression (`hE`, four `F`-blocks, eight `S`-blocks).  For every expression `e`, `c1Stat w D e`
computes, in one structural pass, the tuple `(ℓ¹-norm, deg u, deg v, deg t, Kronecker value)`
(`c1Stat_eq`).  The 13 pieces are evaluated by `decide +kernel` against exact literals, in 13
separate declarations; the statistics of `Case1Data.cf.idE` follow by the composition lemma
`c1Stat_idE` and closed arithmetic on the literals, and `chk` is then decided by its own definition
(`Nat.log2 ℓ¹ + 1 = 179`, `max deg + 1 = 11`, Kronecker value `0`).  The statement of `cf_ok` is
unchanged; the literals are data found by a program outside Lean and are only ever checked. -/

/-! The 13 pieces, each evaluated in its own declaration (`w = 179`, `D = 11`). -/

end Case1
end ThomsonN7

/- END CASE1 -/

/- BEGIN CASE2RED -/
namespace ThomsonN7
namespace Case1

section Case2Red

open scoped InnerProductSpace
open Base

end Case2Red

end Case1
end ThomsonN7
/- END CASE2RED -/

section Asm_Typed
open Finset Matrix
open scoped RealInnerProductSpace

namespace ThomsonN7
namespace ThreePoint

/-! # Typed (root-dependent) three-point bound

Every root `i` carries its own kernel `s i`; every pair `{i, j}` carries its own minorant `H i j`.
-/

section TypedRoot

end TypedRoot

section TypedComb

variable {n : ℕ}

end TypedComb

end ThreePoint
end ThomsonN7

end Asm_Typed

section Asm_Typed2
open Finset Matrix
open scoped RealInnerProductSpace

namespace ThomsonN7
namespace ThreePoint

/-! # Typed three-point bound with free pair shares

Each triple `{i, j, l}` receives a share `W i j l` of the pair function of `{i, j}` (and
similarly for the constant), so that the total over the triples containing a pair is prescribed.
-/

section TypedComb2

variable {n : ℕ}

end TypedComb2

end ThreePoint
end ThomsonN7

end Asm_Typed2

section Asm_Typed7
open Finset Matrix
open scoped RealInnerProductSpace

namespace ThomsonN7
namespace ThreePoint

section Sym

end Sym

/-! # The `n = 7` typed instance: two poles (indices `0, 1`) and five ring points (`2..6`) -/

section Typed7

end Typed7

end ThreePoint
end ThomsonN7

end Asm_Typed7

section Asm_T4
namespace ThomsonN7
namespace M6

/-! ### Integer interval arithmetic (exact, no rounding) -/

/-! ### Homogeneous Gram determinants and their interval enclosures -/

/-! ### Boxes, bisection and the two refutation checkers -/

end M6
end ThomsonN7

open scoped InnerProductSpace

namespace ThomsonN7
namespace T4

open M6

/-! ### Combinatorics of the ring: a 2-colouring of `K₅` without monochromatic triangle is a pentagon -/

/-! ### The ring colouring of a configuration -/

/-! ### The relabelling of the bipyramid -/

/-! ### Nominal Gram entries of the relabelled bipyramid -/

/-! ### Ring rigidity -/

end T4
end ThomsonN7

end Asm_T4

section Asm_Glue1
/-!
# Glue for the near-antipodal case (Case 2)

Abstract, numerics-independent assembly:

* `Glue.exists_minpair_perm`: every 7-configuration is a relabelling of one whose pair `(0,1)` has the
  smallest inner product;
* `Glue.RootedClaim`, `Glue.case2_of_rooted`, `Glue.seven_of_rooted`: the rooted claim implies both
  Challenge statements (through `Case1.seven_of_case2`);
* `Glue.rooted_of_cap_slabs`: a cap certificate plus finitely many slab certificates give the rooted
  claim;
* `Glue.slab_of_typed`, `Glue.cap_of_typed`: a typed pair-minorant bound gives the slab / cap claims
  (with the equality analysis through `M3.contact_rigidity`).
-/

namespace ThomsonN7
namespace Glue

section Rooted

open scoped InnerProductSpace
open Base

end Rooted

section Typed

open scoped InnerProductSpace
open Base

end Typed

end Glue
end ThomsonN7

end Asm_Glue1

section Asm_Glue2
/-!
# Glue for the near-sharp (tube) cap certificate, route S2

A typed pair-minorant bound `e <= sum_{i<j} H_cls(<y_i, y_j>)` which is only *near*-sharp
(`E(P) <= e + delta`) still gives the cap claim, provided

* the pair slacks `phi - H_cls` control the distance to the nodes (`slack <= delta` puts the inner
  product within `tau` of a node of its class);
* the tube rigidity `TubeRigid tau` (closeness of all 21 inner products to the class nodes gives a
  relabelling of the pentagonal bipyramid within `tau` in every Gram entry);
* the local statement `LocalGramA` holds on the window `tau` (Regime B).

The proof is: `E(y) <= E(P)` implies `sum of slacks <= delta`, hence every slack `<= delta`, hence the
tube, hence the window, hence the local statement.
-/

namespace ThomsonN7
namespace Glue

section Tube

open scoped InnerProductSpace
open Base

end Tube

end Glue
end ThomsonN7

end Asm_Glue2

section Asm_Glue2b
namespace ThomsonN7
namespace Glue
section TubeFromT4
open scoped RealInnerProductSpace

end TubeFromT4
end Glue
end ThomsonN7

end Asm_Glue2b

section Asm_Glue3
/-!
# Glue3: the typed three-point bound (`Typed7`) feeds the cap / slab glue (`Glue1`, `Glue2`)

`ThreePoint.typed7_bound` bounds `e` by the typed double sum `∑ i<j, H7 HA HB HC i j ⟪x i, x j⟫`.
Here we identify `H7` with the class selector `Glue.cls3` (poles are the indices `0, 1`) and
restate the bound in exactly the shape needed by `Glue.cap_of_typed`, `Glue.cap_of_typed_tube`
and `Glue.slab_of_typed`.
-/

namespace ThomsonN7
namespace Glue

section Bridge

open scoped InnerProductSpace
open Base

end Bridge

section Assembly

open scoped InnerProductSpace
open Base

end Assembly

end Glue
end ThomsonN7

end Asm_Glue3

section Asm_Glue4
/-!
# Glue4: the final interface (`CapSpec`, `SlabSpec`) and the assembly `seven_of_specs`

The near-sharp cap and the margin slabs are certified by *typed* three-point data
(`Typed7`): PSD blocks `FP FR`, class minorants `HA HB HC`, multipliers `ψBa ψCb`, constants
`cal cbe`, together with one-dimensional facts on the minorants.  `CapSpec a0` (resp.
`SlabSpec lo hi`) is the proposition "such data exist"; every certificate producer has to prove
one of these propositions and nothing else.  `seven_of_specs` is the assembly: a cap spec at
`a 0` and slab specs on `[a k, a (k+1)]` for `k < K`, with `a K ≥ -9/10`, give both Challenge
statements for `N = 7`.

The tube-rigidity hypothesis of the near-sharp cap and the local (Regime B) statement are
discharged here once and for all (`Glue.tubeRigid_of_le`, `Glue.localGramA_of_le`).
-/

namespace ThomsonN7
namespace Glue

section Final

open scoped InnerProductSpace
open Base

end Final

end Glue
end ThomsonN7

end Asm_Glue4

section Asm_EPEnc
/-!  agent9: 40-digit enclosure of the minimal energy `E(P)` (for the near-sharp cap route).  -/

namespace ThomsonN7
namespace Glue
section EPEnc
open Real

end EPEnc
end Glue
end ThomsonN7

end Asm_EPEnc

section Asm_Coerce
/-!
# One-dimensional facts for the typed cap / slab certificates (CoerceCert)

The typed three-point bound uses class minorants `H_cls ≤ phi` of the pair potential
`phi t = (√(2 - 2t))⁻¹`.  For a polynomial `H = Q / Dq` write `y = √(2 - 2t) / 2 ∈ (0, 1]`, so
`t = 1 - 2 y²`, `phi = 1 / (2 y)` and

  `phi t - H t = F(y) / (2 y Dq)`,   `F(y) = Dq - 2 y Q(1 - 2 y²)`,

a *polynomial* in `y` (no square roots, no sign case split).  Hence

* `H ≤ phi` on a `y`-interval is the polynomial inequality `F ≥ 0` (`PlainCert`);
* exact double contact at a rational node `y = p / q` is the factorisation `F = (q y - p)² G`
  (`Contact1`; two nodes: `Contact2`; simple contact at the boundary `y = 1`: `ContactA`), and
  `G ≥ g0 > 0` gives *coercivity*: `phi - H ≤ δ` forces `y` (hence `t`) close to the node.

Positivity of a polynomial on a rational `y`-interval is certified by exact Bernstein pieces
(`BPiece`), checked by list arithmetic in the kernel (no SDP data, no rounding).
-/

namespace ThomsonN7
namespace Glue
namespace Coerce

open CutOneD Base

/-! ## A. Polynomial helpers and Bernstein pieces -/

/-! ## B. The substitution `y = √(2 - 2t) / 2` -/

/-! ## C. Plain certificates: `H ≤ phi` on a `y`-interval -/

/-! ## D. Contact certificates with coercivity -/

/-! ## E. Shapes of the hypotheses `hA hB hC` of `cap_of_typed_tube7` and closeness of the nodes -/

end Coerce
end Glue
end ThomsonN7

end Asm_Coerce

section Asm_Coerce2
/-!
# Relaxed contact certificates (Coerce2)

`Coerce.Contact1` / `Contact2` need an *exact* double root of `F` at a rational node, which integer
SDP data cannot provide.  Here the factorisation is relaxed to

  `s · F = (q y - p)² · G + R`   (resp. `(q1 y - p1)² (q2 y - p2)² · G + R`)

with integers `s > 0`, polynomials `G, R` with `G ≥ g0 > 0` and `R ≥ 0` on `[0, 1]` (both by exact
Bernstein chains).  Then `F ≥ 0` on `[0, 1]` (so `H ≤ phi`), and `F ≤ 2 Dq δ` forces
`g0 (q y - p)² ≤ 2 s Dq δ`, i.e. the same coercivity as in the exact case with `Dq` replaced by
`s Dq`.
-/

namespace ThomsonN7
namespace Glue
namespace Coerce

open CutOneD Base

/-! ## A. One node -/

/-! ## B. Two nodes -/

end Coerce
end Glue
end ThomsonN7

end Asm_Coerce2

section Asm_CertF
/-! # Fast (linear-traversal) checking of sum-of-squares blocks

The blocks `⟨d, l, Δ⟩` of `Cert1` are read by random access (`List.getD`), which costs `O(r³)`
kernel steps per block.  Here the same quadratic form and the same positivity check are
implemented by traversing the coefficient lists once, and proved equivalent to the random-access
versions.  Also: packed integer data (one natural-number literal per array, decoded in the kernel).
-/

namespace ThomsonN7

open Kron Kron.Ex
namespace Cert

open ThreePoint

/-! ## Packed integer data -/

/-! ## The quadratic form of a block, by list traversal -/

/-! ## The positivity check, by list traversal -/

end Cert
end ThomsonN7

end Asm_CertF

section Asm_CertT
namespace ThomsonN7

open Kron Kron.Ex
namespace Cert

open ThreePoint

/-! ## Multiplier atoms of the typed certificates -/

/-! ## Kronecker values of the quadratic form of a block -/

/-! ## Size bounds of packed blocks -/

/-! ### Degrees -/

/-! ## Analytic bounds of typed blocks -/

/-! ## Sums of expressions -/

/-! ## The hybrid check -/

end Cert
end ThomsonN7

namespace ThomsonN7

open Kron Kron.Ex
namespace Cert

/-! # Flat (Nat-only inner loops) evaluation of the quadratic form of a packed block -/

end Cert
end ThomsonN7

namespace ThomsonN7

open Kron Kron.Ex
namespace Cert

open ThreePoint
open scoped RealInnerProductSpace

/-! ## One-variable polynomials, marginals, kernel sums -/

/-! ## The three type slacks, scaled to integer polynomials -/

section RealSide

variable (K : ℕ) (m : ℕ → ℕ) (Lam : ℕ) (blP blR : ℕ → Blk)

end RealSide

/-! ## The certificate -/

namespace TCert

variable (cf : TCert)

/-! ### The real data of a certificate -/

end TCert

end Cert
end ThomsonN7

end Asm_CertT

section Asm_SlabHead
/-!
# One-dimensional facts for the typed slab certificates: `H ≤ φ` on an interval

`φ(t) = (√(2 - 2t))⁻¹`.  For `t < 1` put `y = √((1 - t)/2) > 0`, so that `t = 1 - 2 y²` and
`φ(t) = 1/(2y)`.  A polynomial `H(t) = Q(t)/Lam` satisfies `H ≤ φ` iff `q(y) = Lam - 2 y Q(1 - 2y²) ≥ 0`.

A certificate for `q ≥ 0` on `{ν₂ y² ≤ μ₂}` (i.e. `t ≥ lo`) or `{ν₂ y² ≤ μ₂, μ₁ ≤ ν₁ y²}`
(i.e. `lo ≤ t ≤ hi`) is an exact polynomial identity

  `m · Lam · q(y) = Σ_T mult_T(y) · Σ (weight · square)`

where `mult_T` is a product of a subset of the atoms `y`, `μ₂ - ν₂ y²`, `ν₁ y² - μ₁`, and all
weights are natural numbers.  The identity is checked by kernel evaluation of integer polynomials.
-/

namespace ThomsonN7
namespace SlabOneD

/-! ## Fast check by evaluation at a large integer point (Kronecker substitution)

If an integer polynomial `R` satisfies `R(X) = 0` and all its coefficients have absolute value
`< X`, then `R = 0`.  The coefficient bound is obtained from `ℓ¹`-norm majorants along the same
expression tree as the identity, so the kernel only evaluates a few hundred big-integer operations
instead of expanding all polynomial products. -/

end SlabOneD
end ThomsonN7

end Asm_SlabHead

section Asm_Bridge
/-!
# Bridge: the certificate checker `Cert.TCert.sound_lo` feeds `Glue.SlabSpec` / `Glue.CapSpec`

`TCert.sound_lo` bounds `ef` by the typed double sum `∑ i<j, H7 HAf HBf HCf i j ⟪x i, x j⟫`.
Here we restate it with the class selector `Glue.cls3` (via `Glue3.sum_H7_eq_sum_cls3`) and, for a
certificate whose four boolean checks hold, produce the final interface of `Glue4`.  The remaining
inputs are the one-dimensional facts about the minorants (`HAf ≤ phi`, ...) and the numerical
comparison of `ef` with the energy `E(P)`.
-/

namespace ThomsonN7
namespace Glue

section Bridge

open scoped InnerProductSpace
open Base

end Bridge

end Glue
end ThomsonN7

end Asm_Bridge

section Asm_Bridge1D
/-!
# Bridge1D: agent2's one-dimensional slab facts (`SlabOneD`) feed `Bridge`

`SlabOneD.peval Q t / Lam` is the polynomial `polyR Lam Q t` of `CertT`; a generated slab
`SlabOneD.Slab_x.HA_le_phi` therefore gives `HAf ≤ phi` on the slab of a certificate whose
`HA`, `Lam` are the data of `Slab_x.certHA`.
-/

namespace ThomsonN7
namespace Glue

section Bridge1D

open scoped InnerProductSpace
open Base

end Bridge1D

end Glue
end ThomsonN7

end Asm_Bridge1D

section Asm_Bridge2
/-!
# Bridge2: near-sharp cap specification from a certificate and its contact factorisations

`Bridge.capSpec_of_tcert` asks for coercive one-dimensional facts about the three minorants
`HAf, HBf, HCf` of a cap certificate.  `Coerce` produces exactly these facts from an exact
factorisation of `F = Dq - 2 y Q(1 - 2 y²)` at rational `y`-nodes (`ContactA`, `Contact1`,
`Contact2`).  Here the two are glued: the contact data are attached to a certificate `cf` by the
equalities `c.Q = cf.HX`, `c.Dq = cf.Lam`.
-/

namespace ThomsonN7
namespace Glue

section Bridge2

open scoped InnerProductSpace
open Base

end Bridge2

end Glue
end ThomsonN7

end Asm_Bridge2

section Asm_Bridge3
/-!
# Bridge3: near-sharp cap specification with relaxed contacts

Same as `Bridge2.capSpec_of_contacts`, but the pole--ring and ring--ring minorants come with the
*relaxed* factorisations `s F = (q y - p)² G + R` (`Coerce.Contact1R`, `Coerce.Contact2R`), which
integer SDP data can satisfy; the pole--pole minorant keeps the exact simple contact at `y = 1`.
-/

namespace ThomsonN7
namespace Glue

section Bridge3

open scoped InnerProductSpace
open Base

end Bridge3

end Glue
end ThomsonN7

end Asm_Bridge3

section Asm_cap_tc
namespace ThomsonN7
open Kron Kron.Ex
namespace Cert
open ThreePoint

end Cert
end ThomsonN7

end Asm_cap_tc

section Asm_cap_ct
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_cap_ct

section Asm_cap_capspec
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_cap_capspec

section Asm_s99_98_tc
namespace ThomsonN7
open Kron Kron.Ex
namespace Cert
open ThreePoint

end Cert
end ThomsonN7

end Asm_s99_98_tc

section Asm_s99_98_1d
namespace ThomsonN7
namespace SlabOneD

namespace Slab_s99_98

end Slab_s99_98

end SlabOneD
end ThomsonN7

end Asm_s99_98_1d

section Asm_s99_98_spec
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_s99_98_spec

section Asm_s98_96_tc
namespace ThomsonN7
open Kron Kron.Ex
namespace Cert
open ThreePoint

end Cert
end ThomsonN7

end Asm_s98_96_tc

section Asm_s98_96_1d
namespace ThomsonN7
namespace SlabOneD

namespace Slab_s98_96

end Slab_s98_96

end SlabOneD
end ThomsonN7

end Asm_s98_96_1d

section Asm_s98_96_spec
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_s98_96_spec

section Asm_s96_94_tc
namespace ThomsonN7
open Kron Kron.Ex
namespace Cert
open ThreePoint

end Cert
end ThomsonN7

end Asm_s96_94_tc

section Asm_s96_94_1d
namespace ThomsonN7
namespace SlabOneD

namespace Slab_s96_94

end Slab_s96_94

end SlabOneD
end ThomsonN7

end Asm_s96_94_1d

section Asm_s96_94_spec
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_s96_94_spec

section Asm_s94_93_tc
namespace ThomsonN7
open Kron Kron.Ex
namespace Cert
open ThreePoint

def tc_s94_93_SB4 : TBlk :=
  ⟨[3], [(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0), (0, 0, 2), (0, 1, 1), (0, 2, 0), (1, 0, 1), (1, 1, 0), (2, 0, 0), (0, 0, 3), (0, 1, 2), (0, 2, 1), (0, 3, 0), (1, 0, 2), (1, 1, 1), (1, 2, 0), (2, 0, 1), (2, 1, 0), (3, 0, 0)], 20, 44, 32, 88,
  0xc3af671c688a3dfc3507a0a6ba8a43830a197af5c978bc4306e9810b82e526f2d0d2c6886a350c60de959a289ceb4395e98d9a2fb9f310bd1db45b040a678961d788c1dcf74b878a1be7515b309cdeaf27a389caea319b909906db2b638d5d063ce188c318e111458c061e8f1e70,
  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,
  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def tc_s94_93_SG0 : TBlk :=
  ⟨[], [(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0), (0, 0, 2), (0, 1, 1), (0, 2, 0), (1, 0, 1), (1, 1, 0), (2, 0, 0), (0, 0, 3), (0, 1, 2), (0, 2, 1), (0, 3, 0), (1, 0, 2), (1, 1, 1), (1, 2, 0), (2, 0, 1), (2, 1, 0), (3, 0, 0), (0, 0, 4), (0, 1, 3), (0, 2, 2), (0, 3, 1), (0, 4, 0), (1, 0, 3), (1, 1, 2), (1, 2, 1), (1, 3, 0), (2, 0, 2), (2, 1, 1), (2, 2, 0), (3, 0, 1), (3, 1, 0), (4, 0, 0), (0, 0, 5), (0, 1, 4), (0, 2, 3), (0, 3, 2), (0, 4, 1), (0, 5, 0), (1, 0, 4), (1, 1, 3), (1, 2, 2), (1, 3, 1), (1, 4, 0), (2, 0, 3), (2, 1, 2), (2, 2, 1), (2, 3, 0), (3, 0, 2), (3, 1, 1), (3, 2, 0), (4, 0, 1), (4, 1, 0), (5, 0, 0)], 56, 48, 36, 92,
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def tc_s94_93_SG1 : TBlk :=
  ⟨[10, 4], [(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0), (0, 0, 2), (0, 1, 1), (0, 2, 0), (1, 0, 1), (1, 1, 0), (2, 0, 0), (0, 0, 3), (0, 1, 2), (0, 2, 1), (0, 3, 0), (1, 0, 2), (1, 1, 1), (1, 2, 0), (2, 0, 1), (2, 1, 0), (3, 0, 0), (0, 0, 4), (0, 1, 3), (0, 2, 2), (0, 3, 1), (0, 4, 0), (1, 0, 3), (1, 1, 2), (1, 2, 1), (1, 3, 0), (2, 0, 2), (2, 1, 1), (2, 2, 0), (3, 0, 1), (3, 1, 0), (4, 0, 0)], 35, 44, 32, 88,
  0x8c97a40dd34848ce66433085ab42cb3f2860842f9cb88d1740f325a88c8b1d125e89c6b1a448a87e003c15c687833bb27448aeae2bc8ae8cd7975d1268863ea10a9e84e4c8916f287dad4a0a448e779327aa6846aebd03e08a6ef106f088a7fc99e9e68ab4ae94e68862b604ed7c8c17201c29e8d668e51bce89d8bd10b7283d3a843628856733d26f0890f2be37fe85234814d8c858b6c48d628d585442acc86608889bd68e6618b91048561cba62ca8b6aaad279c8d87c1ebb948b1f08944da,
  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def tc_s94_93_SG2 : TBlk :=
  ⟨[11, 6], [(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0), (0, 0, 2), (0, 1, 1), (0, 2, 0), (1, 0, 1), (1, 1, 0), (2, 0, 0), (0, 0, 3), (0, 1, 2), (0, 2, 1), (0, 3, 0), (1, 0, 2), (1, 1, 1), (1, 2, 0), (2, 0, 1), (2, 1, 0), (3, 0, 0), (0, 0, 4), (0, 1, 3), (0, 2, 2), (0, 3, 1), (0, 4, 0), (1, 0, 3), (1, 1, 2), (1, 2, 1), (1, 3, 0), (2, 0, 2), (2, 1, 1), (2, 2, 0), (3, 0, 1), (3, 1, 0), (4, 0, 0)], 35, 44, 32, 88,
  0x89ac1b3336286160ab7c708669793b39c86dca35ca048a529215a4c8715953972c840e77d45ba8b159719f7a86813e8acee8d0add846da8991f2ead2085b1a06636c851efac49aa874e96d55de8e77939a04c86d9055183a86f24ad2e18864922457ba84f101c14e88691d59d0048d15ffb48e486410fc44e0843595523188e96bcd834a856733d4e328adbb82e8d083cc7e0a12e89e30fc10d88eea99516708e71046e4828e661835f028b6a9cb8eae8561d2dafdc8d87c2824f48b1f08293ec,
  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def tc_s94_93_SG3 : TBlk :=
  ⟨[12, 8], [(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0), (0, 0, 2), (0, 1, 1), (0, 2, 0), (1, 0, 1), (1, 1, 0), (2, 0, 0), (0, 0, 3), (0, 1, 2), (0, 2, 1), (0, 3, 0), (1, 0, 2), (1, 1, 1), (1, 2, 0), (2, 0, 1), (2, 1, 0), (3, 0, 0), (0, 0, 4), (0, 1, 3), (0, 2, 2), (0, 3, 1), (0, 4, 0), (1, 0, 3), (1, 1, 2), (1, 2, 1), (1, 3, 0), (2, 0, 2), (2, 1, 1), (2, 2, 0), (3, 0, 1), (3, 1, 0), (4, 0, 0)], 35, 44, 32, 88,
  0x89ac1bdaca2851603aaab487ac41e280283f255ebb188b6edd7d5448b1ef1099b488c1d31ba8885d40b9c7a48e34e2a2fb08542d05f06a8be2e4db29a87ce82d9fbe890684b6fa6881ee435b5a84565cb765e86d9055eb66856de8f8fd8880ac6580ce89d7da8a44c8772e26d8a685cb457acae89f3d857b408461eef75728661af9dfd28774853970a8adbb8224a483f4f70179e897def84c9e8b3cc91ef1c8afc7ae82848647ee0ccf68b6a9e712008d879c2fea08561e2023848b1f052635c,
  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def tc_s94_93_SG4 : TBlk :=
  ⟨[3], [(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0), (0, 0, 2), (0, 1, 1), (0, 2, 0), (1, 0, 1), (1, 1, 0), (2, 0, 0), (0, 0, 3), (0, 1, 2), (0, 2, 1), (0, 3, 0), (1, 0, 2), (1, 1, 1), (1, 2, 0), (2, 0, 1), (2, 1, 0), (3, 0, 0)], 20, 48, 36, 92,
  0x8f0a06915194a2bf2a3f35aca373650ce4b8a56d9f20b3cc922758c2f420a7b27a071b20912baa0b6b48a9e9672e2460aa7ddbd6b92891f9fcbc9fc89301e0c177a492a9b525f47497f3e28ae44893253b02a9e09bf769ee6c28956ca7dcd5d8a01dbe24781cab2e9e7d5b5c8c2b93617414aa281f1dbad4,
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def tc_s94_93 : TCert where
  dd := 5
  Lam := 1267650600228229401496703205376
  an := -47
  ad := 50
  bn := -93
  bd := 100
  e := 18321328772086594975243821493240
  cal := 180847674263672858716684681216
  cbe := 240002670711353836279437459456
  HA := [857542110990499230202959233020, 83736065731183537994531340290, -188541297087777415723204214780, 72293144351866884953707905020, 44975033444629583003444576260, -53513856641921194746710065150, 21296723519148394705139531780, -3539405823992973756968468480, -16419024378520423630897150, 31154093953435472614129660, 10210143487707738137427970]
  HB := [896360973696948371846103826432, 448218420894336981669867683840, 335174076333248797878308044800, 281195897184720101717311488000, 261333925601562493740537348096, 227325128388987578148066426880, 118905507946991096613480431616, 6554886985028154389356871680, -17405623027465039033325846528, -1022304225482680350860640256, 551974799963537077816000512]
  HC := [896351818934611464040768077822, 448025280411565957513035644928, 335769223125810935344048111614, 284518586518759944119759405058, 259086135174243820109463289854, 208554056929732836637240459266, 99768715632834921186491105280, 4248025008252274045687431168, -14815251208550627926205267970, -2266273979697238605725433858, 751183476993898069754904576]
  ψBa := [-29464924260576225183496404992, 117545503362496737857507426304, 104316463417858620096463765504, 65982662773591975803567996928, 29715960234401641904750985216, -16258423470931430303447646208, -30258255100024751219693060096, -498435335935035432472676401152, -372909282941944631553737883648, 328872338891621098737442488320, 206190845393118156491694538752]
  ψCb := [-240002670711353836279437459456, 116621230261129077200397533184, 129662776445882033433103826946, 47703850684057193587771703298, -11053197693845226024213676032, 2785044481419439272204697602, 27075752224486553157942378498, 68474821972565283270626902014, 66043438574604710530007433216, -342954266216010944991985662, -20848823236124793863422345218]
  FP := [tc_s94_93_FP0, tc_s94_93_FP1, tc_s94_93_FP2, tc_s94_93_FP3, tc_s94_93_FP4, tc_s94_93_FP5]
  FR := [tc_s94_93_FR0, tc_s94_93_FR1, tc_s94_93_FR2, tc_s94_93_FR3, tc_s94_93_FR4, tc_s94_93_FR5]
  mA := 5000
  mB := 50
  mG := 50
  SA := [tc_s94_93_SA0, tc_s94_93_SA1, tc_s94_93_SA2, tc_s94_93_SA3, tc_s94_93_SA4, tc_s94_93_SA5]
  SB := [tc_s94_93_SB0, tc_s94_93_SB1, tc_s94_93_SB2, tc_s94_93_SB3, tc_s94_93_SB4]
  SG := [tc_s94_93_SG0, tc_s94_93_SG1, tc_s94_93_SG2, tc_s94_93_SG3, tc_s94_93_SG4]

end Cert
end ThomsonN7

end Asm_s94_93_tc

section Asm_s94_93_1d
namespace ThomsonN7
namespace SlabOneD

namespace Slab_s94_93

def parHA : Par := ⟨97, 100, 193, 200⟩

def termHA_0 : Term :=
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(nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def termHA_1 : Term :=
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(nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def termHA_2 : Term :=
  ⟨false, true, false, [(nat_lit 2329415552200, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 2117720604), Int.negSucc (nat_lit 271601145), Int.negSucc (nat_lit 1515607556), Int.negSucc (nat_lit 693679170), Int.negSucc (nat_lit 1212134664), Int.negSucc (nat_lit 819653935), Int.negSucc (nat_lit 992966789), Int.negSucc (nat_lit 922401953), Int.negSucc (nat_lit 754244426)]), (nat_lit 3690411066200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 791831828), Int.negSucc (nat_lit 527021101), Int.negSucc (nat_lit 663472051), Int.negSucc (nat_lit 516590270), Int.negSucc (nat_lit 571732923), Int.negSucc (nat_lit 522034128), Int.negSucc (nat_lit 494397627), Int.negSucc (nat_lit 541702287)]), (nat_lit 3576007776400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 787397068), Int.negSucc (nat_lit 633430280), Int.negSucc (nat_lit 695513575), Int.negSucc (nat_lit 637303728), Int.negSucc (nat_lit 621409383), Int.negSucc (nat_lit 689432202), Int.negSucc (nat_lit 531504480)]), (nat_lit 3484958402400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 826717296), Int.negSucc (nat_lit 754378615), Int.negSucc (nat_lit 746130126), Int.negSucc (nat_lit 802652199), Int.negSucc (nat_lit 684618026), Int.negSucc (nat_lit 749588193)]), (nat_lit 3357326209800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 926253353), Int.negSucc (nat_lit 985562904), Int.negSucc (nat_lit 867492991), Int.negSucc (nat_lit 971391819), Int.negSucc (nat_lit 772651857)]), (nat_lit 3187321880000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 1118109178), Int.negSucc (nat_lit 1214675139), Int.negSucc (nat_lit 1059231738), Int.negSucc (nat_lit 1095371529)]), (nat_lit 2952473779800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 1491889002), Int.negSucc (nat_lit 1591456051), Int.negSucc (nat_lit 1364302586)]), (nat_lit 2624058830800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 2249004008), Int.negSucc (nat_lit 2160798914)]), (nat_lit 1946697502600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 4371169069)]), (nat_lit 3457728461800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 67108864)]), (nat_lit 2636968125187788352000, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 4012600087187243350400, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 3492598905450757036800, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1604893284557542510400, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 7627446206261937816000, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 9400874751832132833600, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 5063095870459423976000, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 678781948927586190400, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 4341149651283855795200, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 1319953524216851427586918400, [Int.ofNat (nat_lit 1)]), (nat_lit 8679767781601760405200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 4439951439636265953400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 550689372455940500600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 5255448947529735845800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 4295422438352542468800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 7627674964084485929200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 6598195611151217071600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 4258297317674033710600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1319945680327527207292378600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1325388283803143594400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 6412363520869552128400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 3168899368526622549400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 2980166346073800400800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 3616513065412794872600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 4591020725651770296000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 311010476225879068400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 1319958606637863779117702600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 6437957312957427829000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 3737267695717125423400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1212049616507427012400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1761381330570281120000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 4015066912882467092800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 7045366468576578349000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 1319955249165074217876227400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1671679222257283833400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 1939623006316283286000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 3129498262743057160400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 263984938759672443200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 9051149394316116164200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1319961562253983514765520600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 219253447242700161200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 4254115787307588979800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 5954207079991398192400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 6170705294748014830200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 1319949192498085427811851600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 4758521318202237600800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 4408548435244053842000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1032507150484335820000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1319965086479718272059208200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1516713395229372888800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 6404883205388104997400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1319954206873318174464324200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 5288307987330933110000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 1319950729927584771769024000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1319948132372581739879705400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def termHA_3 : Term :=
  ⟨true, true, false, [(nat_lit 3422303560600, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 498936902), Int.negSucc (nat_lit 679947783), Int.negSucc (nat_lit 510998315), Int.negSucc (nat_lit 588894723), Int.negSucc (nat_lit 484331051), Int.negSucc (nat_lit 521186793), Int.negSucc (nat_lit 472769360), Int.negSucc (nat_lit 432775348), Int.negSucc (nat_lit 483192931)]), (nat_lit 3457527450000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 601138199), Int.negSucc (nat_lit 689172230), Int.negSucc (nat_lit 575000588), Int.negSucc (nat_lit 613717049), Int.negSucc (nat_lit 566976437), Int.negSucc (nat_lit 548735449), Int.negSucc (nat_lit 582810444), Int.negSucc (nat_lit 457016819)]), (nat_lit 3461752562000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 682190035), Int.negSucc (nat_lit 702138241), Int.negSucc (nat_lit 669335355), Int.negSucc (nat_lit 638023470), Int.negSucc (nat_lit 708352034), Int.negSucc (nat_lit 549347094), Int.negSucc (nat_lit 653318635)]), (nat_lit 3414667435200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 802737275), Int.negSucc (nat_lit 776433616), Int.negSucc (nat_lit 845434934), Int.negSucc (nat_lit 719835835), Int.negSucc (nat_lit 794749577), Int.negSucc (nat_lit 621059580)]), (nat_lit 3367027503600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 1010099274), Int.negSucc (nat_lit 870965050), Int.negSucc (nat_lit 989006027), Int.negSucc (nat_lit 775971148), Int.negSucc (nat_lit 876509798)]), (nat_lit 3226949533800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 1261860153), Int.negSucc (nat_lit 1095837337), Int.negSucc (nat_lit 1145673156), Int.negSucc 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def termHA_4 : Term :=
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def termHA_5 : Term :=
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def termHA_6 : Term :=
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(nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 6092887775793769256, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 121441135682615785693947995202, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 10750987715020042139, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 5728748045469140116, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 18967596384692712192, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 121441135702551542154137910594, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 5449452768911883312, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 19168312355783265922, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 121441135686483318839143468342, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 11159215159243727056, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 121441135713997759002827495398, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 121441135664630962923235608334, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def termHA_7 : Term :=
  ⟨true, true, true, [(nat_lit 8896440841, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 139820720), Int.ofNat (nat_lit 11395310), Int.negSucc (nat_lit 87783067), Int.negSucc (nat_lit 22391297), Int.negSucc (nat_lit 105748769), Int.negSucc (nat_lit 37847192), Int.negSucc (nat_lit 168924123), Int.negSucc (nat_lit 44255988)]), (nat_lit 8697949752, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 88695041), Int.negSucc (nat_lit 24792227), Int.negSucc (nat_lit 107716526), Int.negSucc (nat_lit 41680656), Int.negSucc (nat_lit 173124839), Int.negSucc (nat_lit 51813548), Int.negSucc (nat_lit 98286522)]), (nat_lit 8630042281, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 107919398), Int.negSucc (nat_lit 40749174), Int.negSucc (nat_lit 174233987), Int.negSucc (nat_lit 54744567), Int.negSucc (nat_lit 99535091), Int.negSucc (nat_lit 68014504)]), (nat_lit 8593460790, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 176323164), Int.negSucc (nat_lit 57241462), Int.negSucc (nat_lit 104010286), Int.negSucc (nat_lit 73216971), Int.negSucc (nat_lit 60732664)]), (nat_lit 34231239779, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 53662443), Int.negSucc (nat_lit 38617888), Int.negSucc (nat_lit 32124862), Int.negSucc (nat_lit 51832737)]), (nat_lit 34070867192, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 34800530), Int.negSucc (nat_lit 54824082), Int.negSucc (nat_lit 19891702)]), (nat_lit 33842156867, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 20258070), Int.negSucc (nat_lit 78277095)]), (nat_lit 33600021490, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 206083754)]), (nat_lit 32801865007, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648)]), (nat_lit 15367727061370289856, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 7970219244684460160, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 13656741007400828352, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 8405821560976404928, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 15271298487396641280, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 3354110306179267648, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 10969498299193480064, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 12343475915669640704, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 129215050935716165950180917952, [Int.ofNat (nat_lit 1)]), (nat_lit 5184054759941188226, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 2005870879742183428, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 6470061112730012594, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 18342706917405532974, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 11581948459204949393, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 10075817822792541756, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 12907582664865305587, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 129215050927806987923843010673, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 5561962419548942648, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 819507678392981612, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 7198641059346197900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 3401215942529715438, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 9989689994957734616, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 7925254318003886362, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 129215050973725724561001334314, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 17580672709204782561, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 17062057191113706004, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 1544864510734787164, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 9522710740140231876, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 6365003388075941085, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 129215050945396762432790932009, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 5112369904007492890, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 17286530389548568396, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 4747794288344202668, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 6092671305486425177, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 129215050946386886428685741211, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 18386145513780912332, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 12020715719858769492, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 9547473709193502568, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 129215050908517512158702028126, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 33740370389372398039, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 11836982434760584485, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 129215050913620982942197583303, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 30504756449006952854, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 129215050887042611237976917877, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 129215050908455174444899923180, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def certHA : Cert where
  m := nat_lit 20000
  Lam := nat_lit 1267650600228229401496703205376
  Q := [Int.ofNat (nat_lit 857542110990499230202959233020), Int.ofNat (nat_lit 83736065731183537994531340290), Int.negSucc (nat_lit 188541297087777415723204214779), Int.ofNat (nat_lit 72293144351866884953707905020), Int.ofNat (nat_lit 44975033444629583003444576260), Int.negSucc (nat_lit 53513856641921194746710065149), Int.ofNat (nat_lit 21296723519148394705139531780), Int.negSucc (nat_lit 3539405823992973756968468479), Int.negSucc (nat_lit 16419024378520423630897149), Int.ofNat (nat_lit 31154093953435472614129660), Int.ofNat (nat_lit 10210143487707738137427970)]
  terms := [termHA_0, termHA_1, termHA_2, termHA_3, termHA_4, termHA_5, termHA_6, termHA_7]

def parHB : Par := ⟨97, 100, 0, 0⟩

def termHB_0 : Term :=
  ⟨false, false, false, [(nat_lit 3110742487300, [Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 6364421866), Int.ofNat (nat_lit 2694958709), Int.ofNat (nat_lit 2762740786), Int.ofNat (nat_lit 1952413042), Int.ofNat (nat_lit 1806683211), Int.negSucc (nat_lit 4318720662), Int.negSucc (nat_lit 3447387559), Int.negSucc (nat_lit 319376150), Int.negSucc (nat_lit 1209070793), Int.ofNat (nat_lit 4547051163)]), (nat_lit 3064681596600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3370022284), Int.ofNat (nat_lit 1423083573), Int.ofNat (nat_lit 2910213468), Int.negSucc (nat_lit 494521799), Int.negSucc (nat_lit 1289923019), Int.ofNat (nat_lit 517308000), Int.negSucc (nat_lit 2066710586), Int.negSucc (nat_lit 1169027809), Int.ofNat (nat_lit 2550105857)]), (nat_lit 1293340397100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3745575710), Int.ofNat (nat_lit 2757693091), Int.ofNat (nat_lit 1591260781), Int.ofNat (nat_lit 311563366), Int.negSucc (nat_lit 2075742464), Int.negSucc (nat_lit 1947151927), Int.ofNat (nat_lit 1438580467), Int.ofNat (nat_lit 631483548)]), (nat_lit 1167827175000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3898199978), Int.ofNat (nat_lit 3846638947), Int.ofNat (nat_lit 667101819), Int.negSucc (nat_lit 2286214546), Int.ofNat (nat_lit 463474401), Int.ofNat (nat_lit 98729063), Int.ofNat (nat_lit 15717947)]), (nat_lit 1727993383400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2973126738), Int.ofNat (nat_lit 998633431), Int.ofNat (nat_lit 2471083590), Int.negSucc (nat_lit 475924135), Int.negSucc (nat_lit 1587528857), Int.ofNat (nat_lit 458833450)]), (nat_lit 1240201676200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2806863370), Int.ofNat (nat_lit 1208538509), Int.ofNat (nat_lit 986944586), Int.ofNat (nat_lit 727953349), Int.negSucc (nat_lit 1217349920)]), (nat_lit 2487081622500, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3018946531), Int.ofNat (nat_lit 1696133403), Int.ofNat (nat_lit 1598259388), Int.negSucc (nat_lit 1358635160)]), (nat_lit 1614208404100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2167985931), Int.ofNat (nat_lit 729544457), Int.ofNat (nat_lit 408384271)]), (nat_lit 2059723185200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2447336351), Int.ofNat (nat_lit 1402692700)]), (nat_lit 2904711886000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 268435456), Int.negSucc (nat_lit 291504849)]), (nat_lit 2287757351500, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 16777216)]), (nat_lit 1300917825869309542400, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 2586885681845536358400, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1585992197887197184000, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 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Int.ofNat (nat_lit 1)]), (nat_lit 37205976127881287560490800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 4212275077126809320600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 6117395968753032641100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 8267902900685369463200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 37204265625683683109645900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1659716626956854472800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 3756933615024247400800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 37232929378557419949198400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat 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def termHB_1 : Term :=
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def termHB_2 : Term :=
  ⟨false, true, false, [(nat_lit 15706850672, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 16756635054), Int.negSucc (nat_lit 16348893701), Int.ofNat (nat_lit 27961011341), Int.ofNat (nat_lit 27091221843), Int.negSucc (nat_lit 19362245944), Int.negSucc (nat_lit 11210458031), Int.negSucc (nat_lit 4779542428), Int.negSucc (nat_lit 8091616203), Int.ofNat (nat_lit 12072976332)]), (nat_lit 31957633970, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 6298671291), Int.ofNat (nat_lit 2606026531), Int.ofNat (nat_lit 5121632699), Int.negSucc (nat_lit 3381579886), Int.ofNat (nat_lit 673497871), Int.ofNat (nat_lit 1320573406), Int.negSucc (nat_lit 3726946637), Int.ofNat (nat_lit 1320472161)]), (nat_lit 30711541566, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2996208663), Int.ofNat (nat_lit 893364332), Int.ofNat (nat_lit 2182543744), Int.ofNat (nat_lit 663203361), Int.negSucc (nat_lit 1608703330), Int.negSucc (nat_lit 892564251), Int.ofNat (nat_lit 617178672)]), (nat_lit 30770793554, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2546004163), Int.ofNat (nat_lit 389433361), Int.ofNat (nat_lit 603012407), Int.ofNat (nat_lit 1925536530), Int.ofNat (nat_lit 579895307), Int.negSucc (nat_lit 2156335909)]), (nat_lit 13267028773, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 6014577089), Int.ofNat (nat_lit 1922981399), Int.ofNat (nat_lit 4805064767), Int.negSucc (nat_lit 379285641), Int.negSucc (nat_lit 2623737429)]), (nat_lit 9046794708, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3190557004), Int.ofNat (nat_lit 2939612663), Int.negSucc (nat_lit 781928424), Int.negSucc (nat_lit 6204444)]), (nat_lit 21036969036, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2768676668), Int.ofNat (nat_lit 1951077541), Int.negSucc (nat_lit 209295365)]), (nat_lit 17176010380, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2531425407), Int.ofNat (nat_lit 1497977292)]), (nat_lit 10499384954, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 590904484)]), (nat_lit 10392838724, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 33554432)]), (nat_lit 47897704287244910680, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 70507991093113782352, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 184587559301579407416, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 131636288122967293968, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 78653934456711610320, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 29466458940963684432, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 20446678129647812696, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 48441361304980094904, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 16868116198170034232, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 374234232132947905150592, [Int.ofNat (nat_lit 1)]), (nat_lit 72049878753397732000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 250080216696764474800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 104030487134434302960, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 54640801241657024720, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 7965052050163506520, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 76080534896598414200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 79899323975090227440, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 12385941680322316640, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 374136739473967038540760, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 252881231562720326880, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 279625915741773597536, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 161773995043082637944, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 41257437205305360008, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 8666864180860319432, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 10187802712190821328, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 100566874751185238800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 373881389016535873745736, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 568488754098845372046, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 374915218952847168670, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 150083061988874159914, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 29424556191675256764, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 130917628334323162252, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 30455430997303228154, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 373499546714413220493862, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 266685213971420905022, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 41911525075334683794, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 59826404328498911788, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 151919070609012221892, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 6823889517339883606, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 373745475745235593969330, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 31153539157440390498, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 52682082799493527522, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 24686472055119871330, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 79187283874780354062, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 373855274180594393914664, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 85546281934380478143, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 36131335535359231460, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 27194071299189929100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 374364713882735079263192, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 68534166950897861202, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 13913049313022341834, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 374316707152183062110496, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 2572570981720357656, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 374256258168181777027810, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 374508170458516042589912, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def termHB_3 : Term :=
  ⟨true, true, false, [(nat_lit 21567687565, [Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 5512792329), Int.negSucc (nat_lit 2150423123), Int.ofNat (nat_lit 11723448396), Int.negSucc (nat_lit 1026959524), Int.negSucc (nat_lit 6033272792), Int.ofNat (nat_lit 2260062635), Int.negSucc (nat_lit 3439924173), Int.negSucc (nat_lit 3758851868), Int.ofNat (nat_lit 5954898318)]), (nat_lit 22730130678, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3676496401), Int.ofNat (nat_lit 2520474661), Int.ofNat (nat_lit 1567852077), Int.ofNat (nat_lit 270066961), Int.negSucc (nat_lit 213082466), Int.negSucc (nat_lit 3414099396), Int.negSucc (nat_lit 469258871), Int.ofNat (nat_lit 2412429328)]), (nat_lit 34109700130, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3931822054), Int.ofNat (nat_lit 3056510318), Int.ofNat (nat_lit 2928422702), Int.negSucc (nat_lit 2968396946), Int.negSucc (nat_lit 1072186707), Int.negSucc (nat_lit 212167018), Int.ofNat (nat_lit 1145357260)]), (nat_lit 21570734447, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2483284247), Int.ofNat (nat_lit 11375188), Int.ofNat (nat_lit 1509004596), Int.ofNat (nat_lit 1008130532), Int.ofNat (nat_lit 831020868), Int.negSucc (nat_lit 2074430372)]), (nat_lit 16731723222, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3454659202), Int.ofNat (nat_lit 2803323187), Int.ofNat (nat_lit 405403008), Int.negSucc (nat_lit 334210368), Int.negSucc (nat_lit 525687470)]), (nat_lit 16878270148, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2704462742), Int.ofNat (nat_lit 396742577), Int.ofNat (nat_lit 3262790319), Int.negSucc (nat_lit 2034763237)]), (nat_lit 13702511151, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2747601743), Int.ofNat (nat_lit 1904071609), Int.negSucc (nat_lit 184177582)]), (nat_lit 10407298371, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 5236756987), Int.ofNat (nat_lit 3185711075)]), (nat_lit 12160410950, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 590416581)]), (nat_lit 11744988179, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 33554432)]), (nat_lit 17440748919459577800, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 1154929414082133920, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 8023249878464462880, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 11523629853724639200, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 17451672515349315640, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 10783100830481252400, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 16733926897701158920, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 25080523695856091120, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 22156964487805001640, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 380603091526369354293320, [Int.ofNat (nat_lit 1)]), (nat_lit 20214971272010006944, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 87037139765571729792, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 25065889786360998794, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 77814488113257057158, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 31059742227039915826, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 64833407828039844284, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 88278401300396088134, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 87541700508324263316, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 380312656142979820455124, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 23902017435963991924, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 11323054396791594552, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 29970859349244978296, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 34233972675713250112, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 11908805225449642612, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 25448068956705479908, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 21978261066865498552, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 380515864573663402994348, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 24548387769222793178, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 109357951331555410382, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 54428183656479472748, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 68860899880926770610, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 153856855542414181918, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 124603690443260403600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 380220504674157057064368, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 53110795032140477959, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 72807301706214312897, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 29092826003570280880, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 161001589589498007, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 4804547499193186182, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 380475605840800826142284, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 27146192417347977197, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 68828734766317839848, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 148680010937779634521, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 96612639309053521996, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 380212157997890059413346, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 64486304537866539764, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 108813739762330515937, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 99038869767476905608, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 380223787433943053290576, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 72593096413168944646, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 100045162655366846088, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 380328997926600426787038, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 152582722014100148739, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 380047769592198433990870, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 380208484047181181838580, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def certHB : Cert where
  m := nat_lit 100
  Lam := nat_lit 1267650600228229401496703205376
  Q := [Int.ofNat (nat_lit 896360973696948371846103826432), Int.ofNat (nat_lit 448218420894336981669867683840), Int.ofNat (nat_lit 335174076333248797878308044800), Int.ofNat (nat_lit 281195897184720101717311488000), Int.ofNat (nat_lit 261333925601562493740537348096), Int.ofNat (nat_lit 227325128388987578148066426880), Int.ofNat (nat_lit 118905507946991096613480431616), Int.ofNat (nat_lit 6554886985028154389356871680), Int.negSucc (nat_lit 17405623027465039033325846527), Int.negSucc (nat_lit 1022304225482680350860640255), Int.ofNat (nat_lit 551974799963537077816000512)]
  terms := [termHB_0, termHB_1, termHB_2, termHB_3]

def parHC : Par := ⟨97, 100, 0, 0⟩

def termHC_0 : Term :=
  ⟨false, false, false, [(nat_lit 1606079134700, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 10988398885), Int.ofNat (nat_lit 1203315594), Int.ofNat (nat_lit 6741281541), Int.ofNat (nat_lit 5995579739), Int.ofNat (nat_lit 1348748765), Int.negSucc (nat_lit 7778981701), Int.negSucc (nat_lit 3770197788), Int.negSucc (nat_lit 626975978), Int.negSucc (nat_lit 2084214094), Int.ofNat (nat_lit 5700288927)]), (nat_lit 3029061468300, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3206496908), Int.ofNat (nat_lit 1213659558), Int.ofNat (nat_lit 2894298719), Int.negSucc (nat_lit 1069764905), Int.negSucc (nat_lit 1154544651), Int.ofNat (nat_lit 1514626301), Int.negSucc (nat_lit 1733078424), Int.negSucc (nat_lit 1319278235), Int.ofNat (nat_lit 1792240510)]), (nat_lit 1362336147900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3572528056), Int.ofNat (nat_lit 2504664274), Int.ofNat (nat_lit 1358565936), Int.ofNat (nat_lit 124738244), Int.negSucc (nat_lit 1234115028), Int.negSucc (nat_lit 1694209209), Int.ofNat (nat_lit 1033694902), Int.ofNat (nat_lit 408127280)]), (nat_lit 1174573701900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3928494734), Int.ofNat (nat_lit 3877329475), Int.ofNat (nat_lit 656104388), Int.negSucc (nat_lit 2033139749), Int.ofNat (nat_lit 274521685), Int.negSucc (nat_lit 407642433), Int.ofNat (nat_lit 488381937)]), (nat_lit 1464277028800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3224098991), Int.ofNat (nat_lit 1467481228), Int.ofNat (nat_lit 2958463454), Int.negSucc (nat_lit 1300391456), Int.negSucc (nat_lit 2414759666), Int.ofNat (nat_lit 1440647528)]), (nat_lit 924248816800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2869795076), Int.ofNat (nat_lit 1827882126), Int.ofNat (nat_lit 105159547), Int.ofNat (nat_lit 604784793), Int.negSucc (nat_lit 739648810)]), (nat_lit 2373292484200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2952963543), Int.ofNat (nat_lit 1761507785), Int.ofNat (nat_lit 1156725581), Int.negSucc (nat_lit 1037541325)]), (nat_lit 1071739450100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2618158317), Int.ofNat (nat_lit 1967953474), Int.negSucc (nat_lit 415558216)]), (nat_lit 1498835691700, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2254772703), Int.ofNat (nat_lit 1188999874)]), (nat_lit 1735763340700, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 134217728), Int.negSucc (nat_lit 130796497)]), (nat_lit 937059734000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 16777216)]), (nat_lit 308679002982816153600, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 2810744036664357683200, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 971174401104366796800, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 2956516736915074252800, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 3136222636954159513600, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 771117490866487296000, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 2072884255827486310400, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 828429448493773209600, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat 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Int.negSucc (nat_lit 0)]), (nat_lit 37101889902487673573811900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 6415157501797158263900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 1773184564353464921600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 37130260080440212317795300, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat 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def termHC_1 : Term :=
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def termHC_2 : Term :=
  ⟨false, true, false, [(nat_lit 13571815836, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 16348990924), Int.negSucc (nat_lit 16962207833), Int.ofNat (nat_lit 28255364502), Int.ofNat (nat_lit 25659203796), Int.negSucc (nat_lit 18310812767), Int.negSucc (nat_lit 9974627680), Int.negSucc (nat_lit 6707814156), Int.negSucc (nat_lit 8855424848), Int.ofNat (nat_lit 14404211193)]), (nat_lit 19357536370, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 6523117792), Int.ofNat (nat_lit 3113770561), Int.ofNat (nat_lit 5479150847), Int.negSucc (nat_lit 4377992399), Int.ofNat (nat_lit 418627330), Int.ofNat (nat_lit 1855840716), Int.negSucc (nat_lit 4338078915), Int.ofNat (nat_lit 2151869843)]), (nat_lit 34108021330, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2833736803), Int.ofNat (nat_lit 438607093), Int.ofNat (nat_lit 2504680860), Int.ofNat (nat_lit 609314572), Int.negSucc (nat_lit 1734542222), Int.negSucc (nat_lit 494511357), Int.ofNat (nat_lit 392134488)]), (nat_lit 29270911476, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2591850814), Int.ofNat (nat_lit 652312636), Int.ofNat (nat_lit 316142252), Int.ofNat (nat_lit 1695944065), Int.ofNat (nat_lit 757022000), Int.negSucc (nat_lit 1978054655)]), (nat_lit 13346895191, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 5943885196), Int.ofNat (nat_lit 1898938905), Int.ofNat (nat_lit 4684944827), Int.negSucc (nat_lit 776786336), Int.negSucc (nat_lit 2086843407)]), (nat_lit 30528222543, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 1599179012), Int.ofNat (nat_lit 1394983649), Int.negSucc (nat_lit 153985132), Int.negSucc (nat_lit 170859651)]), (nat_lit 17123891716, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2893702080), Int.ofNat (nat_lit 2363644009), Int.negSucc (nat_lit 518958217)]), (nat_lit 18216863379, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2446301520), Int.ofNat (nat_lit 1398412194)]), (nat_lit 28266774281, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 268435456), Int.negSucc (nat_lit 289499093)]), (nat_lit 33629814670, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 16777216)]), (nat_lit 67051966883279994800, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 158375256785906171992, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 218011607969838104576, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 155197794401515733048, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 152261778933876129784, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 110288902762681597928, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 71131718655783600216, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 17454531515569274912, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 156661373500905226184, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 375574303323096991104856, [Int.ofNat (nat_lit 1)]), (nat_lit 200386668242711583480, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 241408220528588569560, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 156658782993500797120, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 189552230287657093000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 137435245834587553100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 97881211173272057540, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 25349337721078119340, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 232977978384057010580, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 375308822779628107189700, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 571050374609588366462, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 383586897169220577186, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 352338767243190431368, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 318926718570482314316, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 157556685512622249752, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 90547965704139011424, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 314155491180880024298, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 374457496746720390720096, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 575967135537950280818, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 485355606681166131168, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 421180144917228227276, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 225713297755493669136, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 108573090351526785312, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 513985442248092752898, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 373981512265572148560624, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 379427317184682371056, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 314849908122232772004, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 208229419761580504214, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 49536745049655604180, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 407986427254096466406, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 374335153158540619781728, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 285644394286181829283, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 181617104777364722969, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 96110290984596037677, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 364843909764674335104, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 374404310577481273291920, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 87842434969171052898, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 86698570250008414828, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 275329158743497641996, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 374747680498361668424593, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 14150462364010464428, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 208038724153916217296, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 375608102034693673029835, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 85115561777159317970, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 376126640593996900054096, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 374410023816757773933358, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def termHC_3 : Term :=
  ⟨true, true, false, [(nat_lit 8962973889, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 11059354699), Int.negSucc (nat_lit 2529454497), Int.ofNat (nat_lit 18807532399), Int.negSucc (nat_lit 452290400), Int.negSucc (nat_lit 9117632802), Int.ofNat (nat_lit 3209849978), Int.negSucc (nat_lit 5668367396), Int.negSucc (nat_lit 8540158389), Int.ofNat (nat_lit 11221859781)]), (nat_lit 23750764573, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3379805109), Int.ofNat (nat_lit 1685872622), Int.ofNat (nat_lit 1857887699), Int.ofNat (nat_lit 816874218), Int.negSucc (nat_lit 301004218), Int.negSucc (nat_lit 3102446537), Int.negSucc (nat_lit 1289919764), Int.ofNat (nat_lit 2678178165)]), (nat_lit 9123286552, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 7674318548), Int.ofNat (nat_lit 5656826511), Int.ofNat (nat_lit 5850624500), Int.negSucc (nat_lit 5573553816), Int.negSucc (nat_lit 2008665103), Int.negSucc (nat_lit 389340723), Int.ofNat (nat_lit 2009884712)]), (nat_lit 17898104219, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2480916186), Int.ofNat (nat_lit 62274928), Int.ofNat (nat_lit 1463770613), Int.ofNat (nat_lit 1056210128), Int.ofNat (nat_lit 246426059), Int.negSucc (nat_lit 1484565475)]), (nat_lit 16873371552, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3331279889), Int.ofNat (nat_lit 2581594412), Int.ofNat (nat_lit 8965801), Int.ofNat (nat_lit 643844919), Int.negSucc (nat_lit 1001127409)]), (nat_lit 20640453419, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2814982615), Int.ofNat (nat_lit 490257392), Int.ofNat (nat_lit 3516936461), Int.negSucc (nat_lit 2280702165)]), (nat_lit 11176812061, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2793325659), Int.ofNat (nat_lit 2146359291), Int.negSucc (nat_lit 402179901)]), (nat_lit 32816384439, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2492710994), Int.ofNat (nat_lit 1447624349)]), (nat_lit 30729444311, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 268435456), Int.negSucc (nat_lit 288641740)]), (nat_lit 9147972719, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 33554432)]), (nat_lit 59173969834529325000, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 8411639518812913688, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 79860636995724443744, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 13964790364342255656, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 50235421055704973368, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 30781316947782008768, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 8384770044681781232, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 25413189194479763440, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 29628865023105761336, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 384257701902321882988344, [Int.ofNat (nat_lit 1)]), (nat_lit 25492429430843136520, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 255293065884078964844, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 50300879830652770852, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 164143419665959696964, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 92829428733193996712, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 47476976556629154876, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 92783494516885024680, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 106155150129630838980, [Int.ofNat (nat_lit 0), 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Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 20745281824750195174, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 40381034363296667320, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 384345376394960612017230, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 50993483898957174083, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 205855771001464806743, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 128781822488598800412, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 20498589961909253665, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 160170372543477386176, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 184311363252969203551, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 383792334616667563145507, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 59848618845342753351, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 5367775490974032708, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 27233318683475965583, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 49825924166871056288, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 21860770348837501458, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 384292019668496448365596, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 78681506886039910468, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 11060558942218769365, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 101718067807130098896, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 105916078561223024555, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 383877041813409595061371, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 18145578369657900900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 76108503512066516700, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 80752873827082813037, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 384062387392300659862717, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 46802861879854729796, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 37341581209852461715, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 384288931990011051447705, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 4320065668657930916, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 383988055891505733944635, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 383937014117078061775152, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def certHC : Cert where
  m := nat_lit 100
  Lam := nat_lit 1267650600228229401496703205376
  Q := [Int.ofNat (nat_lit 896351818934611464040768077822), Int.ofNat (nat_lit 448025280411565957513035644928), Int.ofNat (nat_lit 335769223125810935344048111614), Int.ofNat (nat_lit 284518586518759944119759405058), Int.ofNat (nat_lit 259086135174243820109463289854), Int.ofNat (nat_lit 208554056929732836637240459266), Int.ofNat (nat_lit 99768715632834921186491105280), Int.ofNat (nat_lit 4248025008252274045687431168), Int.negSucc (nat_lit 14815251208550627926205267969), Int.negSucc (nat_lit 2266273979697238605725433857), Int.ofNat (nat_lit 751183476993898069754904576)]
  terms := [termHC_0, termHC_1, termHC_2, termHC_3]

end Slab_s94_93

end SlabOneD
end ThomsonN7

end Asm_s94_93_1d

section Asm_s94_93_spec
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_s94_93_spec

section Asm_s93_90_tc
namespace ThomsonN7
open Kron Kron.Ex
namespace Cert
open ThreePoint

end Cert
end ThomsonN7

end Asm_s93_90_tc

section Asm_s93_90_1d
namespace ThomsonN7
namespace SlabOneD

namespace Slab_s93_90

end Slab_s93_90

end SlabOneD
end ThomsonN7

end Asm_s93_90_1d

section Asm_s93_90_spec
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_s93_90_spec

section Asm_Final
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_Final

namespace ThomsonN7

end ThomsonN7